Question

Dale and 2 friends share one fourth of a cake. Each piece is the same size.
Dale believes each piece of cake has an angle measure of 45°. Is Dale correct?
Use the drop-down menus to show and explain your answer.

A cake has a slice separated out.

(2 points)
Dale is
Choose
. One fourth of the cake measures
Choose
;
Choose
÷

Choose
=
Choose
.

Answer 1

To determine if Dale is correct, we need to analyze the situation:

1. **Dale and 2 friends are sharing one fourth of a cake**: This means that there are 3 people sharing one fourth of the whole cake.

2. **Each piece is the same size**: Since they are dividing one fourth of the cake among 3 people, each person will get a piece that is one third of the one fourth of the cake.

3. **Total angle of the cake**: A whole cake is represented by a circle, which has a total angle measure of 360°.

4. **One fourth of the cake**: The angle measure of one fourth of the cake is:
\[
\frac{1}{4} \times 360° = 90°
\]

5. **Dividing this one fourth among 3 friends**: Each person will receive:
\[
\frac{90°}{3} = 30°
\]

Now, applying these findings to the drop-down menus:

- Dale is **incorrect**.
- One fourth of the cake measures **90°**;
- **90°** ÷
- **3** =
- **30°**.

So the complete statement would read:
Dale is **incorrect**. One fourth of the cake measures **90°**; **90°** ÷ **3** = **30°**.